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Finding the Fourth Proportional to 13,535.10, 20,299.01 and 4,768.88

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Solution

The fourth proportional to 13,535.10, 20,299.01 and 4,768.88 is: 7,152.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.10 : 20,299.01 = 4,768.88 : x
  2. Step 2: Convert to fraction form
    13,535.10/20,299.01 = 4,768.88/x
  3. Step 3: Cross multiply
    13,535.10x = 20,299.01 × 4,768.88
  4. Step 4: Simplify right side
    13,535.10x = 96,803,417.47
  5. Step 5: Solve for x
    x = 96,803,417.47/13,535.10
  6. Step 6: Final answer
    x = 7,152.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.